peculiar fuse sizes in fuse block

Hi.
I have 100amp service to my home, entering the main old(er) fuse panel
to a 100AMP fuse block, then splitting 3ways: one set of wires to a
separate new(er) panel (with about 20 circuit breakers for the various
parts of the house), and to two fuse blocks on the same old main panel
(one for electric range, and one for clothes dryer).
I checked the clothes dryer fuse block. It has 2-30amp cartridge
fuses which go to a #10AWG wire to the dryer.
I checked the electric range fuse block. It has 1-60amp cartridge
fuse, and 1-45amp cartridge fuse. As best I can tell, it looks like
they go to a #8AWG wire to the electric range.
I'm wondering if maybe the previous home owner mixed-and-matched
because that's what he had available.
What rating should the range fuses be?
Advice appreciated. Thanks.
Regards,
Theodore.

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